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Finding the Fourth Proportional to 532,971.75, 735,510.68 and 291,264.51

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Solution

The fourth proportional to 532,971.75, 735,510.68 and 291,264.51 is: 401,950.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,971.75 : 735,510.68 = 291,264.51 : x
  2. Step 2: Convert to fraction form
    532,971.75/735,510.68 = 291,264.51/x
  3. Step 3: Cross multiply
    532,971.75x = 735,510.68 × 291,264.51
  4. Step 4: Simplify right side
    532,971.75x = 214,228,157,809.97
  5. Step 5: Solve for x
    x = 214,228,157,809.97/532,971.75
  6. Step 6: Final answer
    x = 401,950.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.